Probability Models and Applications

Written by renowned experts in the field, this reissue of a textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models. Readers will receive a firm foundation in techniques for deriving distributions of various summaries of data that will prepare them for subsequent studies of statistics, as well as a solid grounding in concepts such as that of conditional probability that will prepare them for more advanced courses in stochastic processes.
Contents: IntroductionThe Elements of Probability TheoryFinite Probability Models and Random SamplingConditional Probability and Probabilistic IndependenceRandom VariablesDescriptive Properties of DistributionsSums and Averages of Independent Random VariablesSpecial Distributions: Discrete CaseThe Normal DistributionSpecial Distributions: Continuous CaseBivariate DistributionsThe Bivariate Normal DistributionTransformations of Two Random VariablesFitting and Testing Goodness of Fit of Probability Models
Readership: Undergraduates in probability models, concepts and applications.Probability Models;Goodness of Fit;Distributions;Moments;Moment Generating Functions of Sums of Independent Random Variables;Concepts;Techniques0Key Features:Numerous examples with actual data where probability models can be applied in practice